Characters and factor representations of the infinite unitary group. (English. Russian original) Zbl 0524.22017
Sov. Math., Dokl. 26, 570-574 (1982); translation from Dokl. Akad. Nauk SSSR 267, 272-276 (1982).
MSC:
22E65 | Infinite-dimensional Lie groups and their Lie algebras: general properties |
43A65 | Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) |
46L35 | Classifications of \(C^*\)-algebras |
43A35 | Positive definite functions on groups, semigroups, etc. |
81R10 | Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations |